A particle of mass 5kg has no initial velocity. It decays into two particles both having the same mass. Calculate their velocities given that both energy and momentum are conserved.

A particle of mass m (particle #1) is fired head-on at speed 48 m/s toward another particle of mass 3m (particle #2) which is at rest.  The result of this collision is that #1 comes to a complete stop, and #2 moves forward.  (a) At what speed does particle #2 emerge from the collision?  (b) What fraction of the original kinetic energy is lost during this process?

When an object's speed doubles, its momentum changes by a factor of _____, and its kinetic energy changes by a factor of ______ .

3. Consider the following two types of completely inelastic collisions between Турe A two identical masses, m. Type A: a m m particle of mass m and velocity v strikes V a stationary target consisting of an identical particle of mass m. Type B: Туре В each particle has a mass m and a speed m m v/(22) – in this case they collide head v/2/2 V/22 on. Ignore gravity, and express your answers in terms of m and v. A. What is the speed of the center of mass for type A, and for type B collisions (before the collision occurs)? What the center of mass speed after the collision for each type of collision. Justify your answers. В. ( What is the change in the total kinetic energy for type A and type B ?

A ball is thrown at an astronaut in deep space, and strikes the astronaut at vm/s. What is the difference between the amount of momentum the astronaut would acquire from catching the ball, and the amount that he would acquire if he lets it rebound off of him at a velocity of -v?

A cannon of mass M fires a projectile of mass m.  The energy liberated in firing is E. Assume the projectile is discharged horizontally and that the cannon is mounted on wheels of a negligible mass. Using the fact that the energy E is taken up by both cannon and projectile and that momentum is conserved in the firing, do the following: A) Find the velocity of the projectile in terms of the masses and the energy E. B) By writing the velocity of the recoiling cannon in terms of the velocity of the projectile, find a relationship between the energy liberated, E, and the energy of the projectile. C) Explain what happens as M gets very large compared to m.

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If 2 marbles (of same mass and speed) travel from one end of a straight line runway and strike a line of marbles, is it possible to have only one marble to pop off the other end of the line at twice the speed? Why? (explain based on momentum and kinetic energy) I tried to find the momentum for the single marble and got 2mv and found the kinetic energy to be 2mv^2 but I'm not sure if it's right or how to how to explain it if it is possible or not.

A saturn 5 rocket must travel 17, 800 mph to escape the gravitational pull of the earth and enter space. The rocket weight 6.2 million pounds, and the initial specific impulse lasts 263 seconds. What impulse is required for the rocket to meet the 17, 800 mph momentum in needs, using the formula FT=MV?

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